Question

(2) Verify that points P(-2, 2), Q(2, 2) and
R(2, 7) are vertices of a right angled triangle.
Solution :
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Answer 1

Answer:

Answer in attachment

Hope it helps u.. ☺️✌️

Answer 2

Given,

P(−2,2)

Q(2,2)

R(2,7)

⇒∣PQ∣=  

(−2−2)  

2

+(2−2)  

2  

=  

(4)  

2  

=4units

⇒∣PR∣=  

(−2−2)  

2

+(2−7)  

2  

=  

(4)  

2

+5  

2  

=  

16+25  

=  

41  

units

⇒∣PQ∣=  

(2−2)  

2

+(2−7)  

2  

=  

(5)  

2  

=5units

we can clearly see that

⇒∣PR∣  

2

=∣PQ∣  

2

+∣QR∣  

2

     ( Pythagoras theorem )

since ∣PQ∣  

2

=16

and ∣QR∣  

2

=25

∴∣PQ∣  

2

+∣QR∣  

2

=16+25=41

and we have ∣PR∣=  

41

∴∣PR∣  

2

=41units